Final Answer
Step-by-step Solution
Problem to solve:
Specify the solving method
Factor the trinomial by $-1$ for an easier handling
Factor the trinomial $-\left(x^2-7x+10\right)$ finding two numbers that multiply to form $10$ and added form $-7$
Thus
Factor the trinomial $\left(x^2-7x+10\right)$ finding two numbers that multiply to form $10$ and added form $-7$
Thus
Simplify the product $-(x-2)$
Break the equation in factors and set each equal to zero, to obtain
Solve the equation ($1$)
We need to isolate the dependent variable $x$, we can do that by subtracting $-5$ from both sides of the equation
Solve the equation ($2$)
We need to isolate the dependent variable $x$, we can do that by subtracting $2$ from both sides of the equation
Multiply both sides of the equation by $-1$
Combining all solutions, the $2$ solutions of the equation are